Step-by-step explanation:
what do you need explain graphing them
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score
Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
How many tryouts weighed MORE THAN 450 grams?
Answer:
11
Step-by-step explanation:
Basically count each doubt that is on the number line with a value greater than 450
Answer:
11 trouts
Step-by-step explanation:
Count the dots that are after the 450-gram mark.
Trouts that weigh 452 = 5
Trouts that weigh 454 = 2
Trouts that weigh 456 = 2
Trouts that weigh 458 = 1
Trouts that weigh 460 = 1
Then, add everything up.
5 + 2 + 2 + 1 + 1 = 11
So, 11 trouts weigh more than 450 grams.
Have a wonderful day!
find the slope, and in y=mx+b form
9514 1404 393
Answer:
slope: 1y = x +6Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the first two table entries, this is ...
m = (5 -4)/(-1 -(-2)) = 1/1
m = 1
The y-intercept can be found using the formula ...
b = y1 -m·x1
b = 4 -(1)(-2) = 6
Then the slope-intercept equation is ...
y = mx + b
y = x + 6
The slope is 1; the equation is y = x+6.
Answer:
the answer is
slope:1
y=x+6
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
Find the AREA.
help I need help fast I have 15 minutes
Answer:
78
Step-by-step explanation:
a= (a+b/2)(H)
9+17=26/2=13x6= 78
do bedmas
hope this helps
whats 2+2 i dont know the answer .......................
Answer:
4
Step-by-step explanation:
Two cooies plus two cookies is four cookies.
Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
Express tan(-310°) as a function of a positive acute angle in
terms of tan x
guessing
360 - 310 = 50
-tan(50)
Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!
9514 1404 393
Answer:
1) Not Similar
2) Not Similar
Step-by-step explanation:
1) The side length ratios, shortest to longest, are ...
VU : UW : WV = 27 : 39 : 52 (reduced)
DC : CE : ED = 12 : 19 : 24 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
__
2) The side length ratios, shortest to longest are ...
MK : KL = 13 : 19 (reduced)
HK : KG = 6 : 9 = 2 : 3 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
Answer:
2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.
Round to the nearest tenth
Answer:
22.5
Step-by-step explanation:
13 square root 3 equals that
Which figures will have a volume that is greater than 100 cubic units? Select two options. a rectangular prism with dimensions of 4 by 5 by 4 a rectangular prism with dimensions of 2 by 12 by 6 a rectangular prism with dimensions of 1.5 by 8 by 8 a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12 a cube with side length 4.
Answer:
Options-2
Option-4
Step-by-step explanation:
two options have Volume greater than 100 units³
Options-2:remember the formula of Volume of rectangular prism
l×w×hgiven that,
width:2length:12height:6thus substitute:
2×12×6simplify multiplication:
144 units³since 144>100 it's one of our answer
Option-4:remember the formula of triangular prism
½×b×h×lgiven:
b:4h:12l:6Thus substitute:
½×4×12×6simplify multiplication:
144since 144>100 it's our answer
the other options don't satisfy the condition
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The two figures that will have a volume greater than 100 cubic units are:
A rectangular prism with dimensions of 2 by 12 by 6
Volume = length x width x height
= 2 x 12 x 6
= 144 cubic units
A cube with a side length 4
Volume = side x side x side
= 4 x 4 x 4
= 64 cubic units
Therefore,
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
Learn more about Prism here:
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Find the total surface area of this square based
pyramid.
1077
10 ft
[? ]ft2
Enter
Answer:
300ft^2
Step-by-step explanation:
Total surface area = Area of base + (1/2) x perimeter of base x slant height
Area of base = length² = 10 x 10 = 100
Perimeter of base = 2 ( length + breadth)
2 x 20 = 40
slant height = 10
100 + (1/2) x 40 x 10 = 300 ft^2
Help me and I’ll give you Brainliest and if u don’t know don’t answer
Answer:
2 in. × 25 in. [Choice 2]5 in. × 10 in. [Choice 4]1 in. × 50 in. [Choice 6]
What is the correct ratio? *
Answer:
The correct ratio is 40/41
Need some help with this soon!
Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
Please help me I really need to finish this
Answer:
9
Step-by-step explanation:
please helpp me with this assignment
Find the volume
Show work
Sir there seems to be a picture in your pixels.
i would assume the measurements (from left to right) is 34m 14m 20m and 14m
find the area of the triangle so split the 24 in half 12 and 12
then multiply 12*14 which is 168
i would assume the area is 168m^2
then multiply by 20m
3360m ^3
PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%
the answer is b
cccxcxcxcxcxzczczxc
The percentage of the rate of decrease in the medication will be 75%. Option A is correct.
What is an exponential function?The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.
It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.
f(x) = 500(0.75)ˣ
Compare the function with the standard function as
y=baˣ
Where b is the constant value, a is the percent of the rate of decrement and x is the time period,
The value of a for the given function will be 0.75. The value is in percentage form and can be written as,
=0.75 ₓ 100
=75%
Thus, the medication's rate of decline will be 75%. Option A is correct.
Learn more about the exponential function here:
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If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1A 2-kilogram bag of potting soil costs $1.96. What is the unit price?
Answer:
The unit price is $0.98
Answer:
98¢
Step-by-step explanation:
The unit price of an item is the price of one unit. In this case, this would be the price of a single kilogram.
To find the unit price, we'll divide the given price by the amount of units it is for. So, divide 1.96 by 2.
1.96 ÷ 2 = unit price
0.98 = unit price
This means the price of a single kilo of potting soil is $0.98. The unit price of the potting soil is 98 cents.
Good luck :)
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answer:
Aisha would pay 21 dollars for 8 slices.
Equation 2x(x=number of slices)+5
Step-by-step explanation:
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.
Answer:
1 degree
Step-by-step explanation:
because a circle is 360 degrees
Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)
the standard form of a quadratic formula is
y = ax^2 + bx + c
in this case you will solve using foil method
(× - 4)(x + 3)
(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))
x^2 + 3x - 4x -12
x^2 - x - 12
therefore
y = x^2- x - 12
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xBryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?
.........................................
ANSWER FAST
SHOW YOUR WORK
1. 9.5 + x = 14.2
Answer:
4.7
Step-by-step explanation:
14.2 - 9.5 = 4.7
hope that helps!
Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
In the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance
Answer:
BR is about 7.3084 cm
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24
since I want BR, I will use cos (adj/hyp)
cos24=s/8
.9135=s/8
7.3084=s